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module Data.Experiments where | |
import Math | |
import Data.Array | |
import Control.MonadPlus | |
(..) :: Number -> Number -> [Number] | |
(..) = range | |
triples :: Number -> [[Number]] | |
triples n = do | |
guard $ n > 0 | |
a <- 1 .. n | |
b <- a .. n | |
c <- b .. n | |
let a2 = pow a 2 | |
let b2 = pow b 2 | |
let c2 = pow c 2 | |
guard $ a2 + b2 == c2 | |
return [a, b, c] | |
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"use strict"; | |
var Prelude = require("Prelude"); | |
var Data_Array = require("Data.Array"); | |
var Control_MonadPlus = require("Control.MonadPlus"); | |
var Math = require("Math"); | |
var $dot$dot = Data_Array.range; | |
var triples = function (n) { | |
return Prelude[">>="](Data_Array.bindArray())(Control_MonadPlus.guard(Data_Array.monadPlusArray())(n > 0))(function () { | |
return Prelude[">>="](Data_Array.bindArray())($dot$dot(1)(n))(function (_16) { | |
return Prelude[">>="](Data_Array.bindArray())($dot$dot(_16)(n))(function (_15) { | |
return Prelude[">>="](Data_Array.bindArray())($dot$dot(_15)(n))(function (_14) { | |
var a2 = Math.pow(_16)(2); | |
var b2 = Math.pow(_15)(2); | |
var c2 = Math.pow(_14)(2); | |
return Prelude[">>="](Data_Array.bindArray())(Control_MonadPlus.guard(Data_Array.monadPlusArray())(a2 + b2 === c2))(function () { | |
return Prelude["return"](Data_Array.monadArray())([ _16, _15, _14 ]); | |
}); | |
}); | |
}); | |
}); | |
}); | |
}; | |
module.exports = { | |
triples: triples, | |
"..": $dot$dot | |
}; |
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> Data.Experiments.triples 200 | |
[[3,4,5],[5,12,13],[6,8,10],[7,24,25],[8,15,17],[9,12,15],[9,40,41],[10,24,26],[11,60,61],[12,16,20],[12,35,37],[13,84,85],[14,48,50],[15,20,25],[15,36,39],[15,112,113],[16,30,34],[16,63,65],[17,144,145],[18,24,30],[18,80,82],[19,180,181],[20,21,29],[20,48,52],[20,99,101],[21,28,35],[21,72,75],[22,120,122],[24,32,40],[24,45,51],[24,70,74],[24,143,145],[25,60,65],[26,168,170],[27,36,45],[27,120,123],[28,45,53],[28,96,100],[28,195,197],[30,40,50],[30,72,78],[32,60,68],[32,126,130],[33,44,55],[33,56,65],[33,180,183],[35,84,91],[35,120,125],[36,48,60],[36,77,85],[36,105,111],[36,160,164],[39,52,65],[39,80,89],[40,42,58],[40,75,85],[40,96,104],[42,56,70],[42,144,150],[44,117,125],[45,60,75],[45,108,117],[48,55,73],[48,64,80],[48,90,102],[48,140,148],[48,189,195],[49,168,175],[50,120,130],[51,68,85],[51,140,149],[52,165,173],[54,72,90],[55,132,143],[56,90,106],[56,105,119],[56,192,200],[57,76,95],[57,176,185],[60,63,87],[60,80,100],[60,91,109],[60,144,156],[60,175,185],[63,84,105],[64,120,136],[65,72,97],[65,156,169],[66,88,110],[66,112,130],[69,92,115],[70,168,182],[72,96,120],[72,135,153],[72,154,170],[75,100,125],[75,180,195],[78,104,130],[78,160,178],[80,84,116],[80,150,170],[81,108,135],[84,112,140],[84,135,159],[85,132,157],[87,116,145],[88,105,137],[88,165,187],[90,120,150],[93,124,155],[95,168,193],[96,110,146],[96,128,160],[99,132,165],[99,168,195],[100,105,145],[102,136,170],[104,153,185],[105,140,175],[108,144,180],[111,148,185],[114,152,190],[117,156,195],[119,120,169],[120,126,174],[120,160,200],[130,144,194]] |
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